| Hereditary Radicals and Strongly Semisimple Radicals in Normal Classes of Algebras |
| Received:November 20, 2001 |
| Key Words:
algebra normal class lattice hereditary radical strongly semisimple radical.
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| Fund Project:NSF of Liaoning Education Department (2024201051) |
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| Abstract: |
| Puczylowski established the general theory of radicals of the class of objects called algebras. In this paper, we make use of the method of lattice theory to characterize the general hereditary radicals and general strongly semisimple radicals and investigate some properties of them in normal classes of algebras. This extends some known studies on the theory of radicals of various algebraic strutures. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2004.04.004 |
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